19
A regression was run to determine if there is a relationship
between hours of TV watched per day (x) and number of situps a
person can do (y).
The results of the regression were:
y=ax+b a=-1.082 b=36.749 r2=0.6889 r=-0.83
Use this to predict the number of situps a person who watches 7
hours of TV can do (to one decimal place)
18
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states.
xx | 11.4 | 8.5 | 6.8 | 3.4 | 2.7 | 2.3 | 2.6 | 0.4 |
---|---|---|---|---|---|---|---|---|
yy | 14 | 11.6 | 10 | 6.7 | 6.1 | 5.9 | 6.5 | 4.4 |
xx = thousands of automatic weapons
yy = murders per 100,000 residents
This data can be modeled by the equation y=0.89x+3.92.y=0.89x+3.92.
Use this equation to answer the following;
A) How many murders per 100,000 residents can be expected in a
state with 9.8 thousand automatic weapons?
Answer = Round to 3 decimal places.
B) How many murders per 100,000 residents can be expected in a
state with 6.9 thousand automatic weapons?
Answer = Round to 3 decimal places.
17
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states.
xx | 11.4 | 8.4 | 6.6 | 3.5 | 2.7 | 2.4 | 2.4 | 0.7 |
---|---|---|---|---|---|---|---|---|
yy | 13.8 | 10.9 | 9.6 | 7.1 | 6.6 | 5.8 | 5.8 | 4.6 |
xx = thousands of automatic weapons
yy = murders per 100,000 residents
This data can be modeled by the equation y=0.85x+3.97.y=0.85x+3.97.
Use this equation to answer the following;
Special Note: I suggest you verify this equation by performing
linear regression on your calculator.
A) How many murders per 100,000 residents can be expected in a
state with 3.6 thousand automatic weapons?
Answer = Round to 3 decimal places.
B) How many murders per 100,000 residents can be expected in a
state with 2.2 thousand automatic weapons?
Answer = Round to 3 decimal places
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